Entrance hall of the ICMS

Matrix factorisations and related topics

Jul 24, 2017 - Jul 28, 2017

ICMS 15 South College Street

Organisers

Name Institution
Kalck, Martin University of Edinburgh
Wemyss, Michael University of Glasgow

Dirac used matrix factorisations in his seminal work on the electron (1920s).  Since then matrix factorisations have percolated deep into many areas of mathematics and theoretical physics.  They underpin many of the modern advances in algebraic geometry, commutative algebra, noncommutative geometry and string theory, and the aim of this workshop is to bring together some of the leading experts in these areas, and to provide a forum in which to discuss some of the latest developments.  


Building on previous meetings held in Bielefeld in 2011 and in Oberwolfach in 2013, this workshop will specifically focus on the following topics and recent advances:

1. Knörrer's periodicity: new interpretations and generalisations.

2. NCCRs:  large scale recent advances in the construction of non-commutative crepant resolutions (NCCRs), and the corresponding relationship to algebraic geometry.

3. Derived matrix factorisations, generalisations of Orlov's theorem and application to variation of GIT and homological projective duality.

4. New applications from matrix factorisations (through Gorenstein projective modules) to cluster algebras and cluster categories.

5. Matrix factorisations in string theory, and applications to NCCRs, GIT and duality.

We gratefully acknowledge support by the EPSRC Postdoctoral Fellowship EP/L017962/1.

 

Provisional talk titles include: 

Michael Brown: Topological K-theory of matrix factorisation categories 

Nils Carqueville: Orbifold equivalence for isolated singularities

Eleonore Faber: Noncommutative resolutions of discriminants of reflection groups

Yuki Hirano: Relative singular locus and matrix factorisations 

Joseph Karmazyn: Knorrer periodicity for cyclic quotient surface singularities

Daniel Murfet: A-infinity minimal models and matrix factorisations 

David Ploog: Tilting chains of negative curves on surfaces 

Ana Ros Camacho: Matrix factorisations and the Landau-Ginzburg/conformal field theory correspondence   

 

Arrangements

INVITED SPEAKERS:  Invited speakers were sent an invitation email from ICMS, on behalf of the scientific advisers, in November 2016.

PUBLIC APPLICANTS: There are additional spaces available for public applicants. Please use this APPLICATION FORM to apply. DEADLINE FOR APPLICATIONS: Friday 28 April 2017.

Venue
The workshop will be held at ICMS, 15 South College Street, Edinburgh. 

UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one. 

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street.  If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre.    Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre.  For ICMS, use Edinburgh Waverley.

Programme

To be announced

Participants

Name Institution
Brown, Michael Hausdorff Center for Mathematics, Bonn
Buchweitz, Ragnar-Olaf University of Toronto Scarborough
Burban, Igor University of Cologne
Carqueville, Nils University of Vienna
Dao, Hailong University of Kansas
Faber, Eleonore University of Michigan
Favero, David University of Alberta
Hirano, Yuki Tokyo Metropolitan University
Ingalls, Colin University of New Brunswick
Iyama, Osamu Nagoya University
Kalck, Martin University of Edinburgh
Karmazyn, Joseph University of Sheffield
King, Alastair University of Bath
Leuschke, Graham Syracuse University
Murfet, Daniel University of Melbourne
Ploog, David Freie Universität Berlin
Ros Camacho, Ana Universiteit Utrecht
Segal, Ed Imperial College London
Spenko, Spela University of Edinburgh
Stevenson, Greg Universität Bielefeld
Takahashi, Atsushi Osaka University
Timo, Kluck Universiteit Utrecht
Wemyss, Michael University of Glasgow